| 书目名称 | Nonlinear Differential Equations in Physics | | 副标题 | Novel Methods for Fi | | 编辑 | Santanu Saha Ray | | 视频video | | | 概述 | Discusses key concepts of various novel methods in fractional calculus.Helps in solving fractional differential equations used for the accurate modeling of physical phenomena.Highlights research into | | 图书封面 |  | | 描述 | .This book discusses various novel analytical and numerical methods for solving partial and fractional differential equations. Moreover, it presents selected numerical methods for solving stochastic point kinetic equations in nuclear reactor dynamics by using Euler–Maruyama and strong-order Taylor numerical methods. The book also shows how to arrive at new, exact solutions to various fractional differential equations, such as the time-fractional Burgers–Hopf equation, the (3+1)-dimensional time-fractional Khokhlov–Zabolotskaya–Kuznetsov equation, (3+1)-dimensional time-fractional KdV–Khokhlov–Zabolotskaya–Kuznetsov equation, fractional (2+1)-dimensional Davey–Stewartson equation, and integrable Davey–Stewartson-type equation. .Many of the methods discussed are analytical–numerical, namely the modified decomposition method, a new two-step Adomian decomposition method, new approach to the Adomian decomposition method, modified homotopy analysis method with Fourier transform, modified fractional reduced differential transform method (MFRDTM), coupled fractional reduced differential transform method (CFRDTM), optimal homotopy asymptotic method, first integral method, and a solution pro | | 出版日期 | Book 2020 | | 关键词 | Fractional Derivatives; Wavelet Transform Method; Modified Homotopy Analysis Method; Fourier Transform; | | 版次 | 1 | | doi | https://doi.org/10.1007/978-981-15-1656-6 | | isbn_softcover | 978-981-15-1658-0 | | isbn_ebook | 978-981-15-1656-6 | | copyright | Springer Nature Singapore Pte Ltd. 2020 |
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发表于 2025-3-21 17:53:19
